Interplay of quantum and statistical fluctuations in critical quantum matter. ([2018])

• Record Type: Book
• Further Information: Note: Harley Scammell.
• Authors: Scammell, Harley
• Contents: Intro; Supervisor's Foreword; Abstract; Acknowledgements; Contents; 1 Introduction; 1.1 Preliminary Statements; 1.1.1 Notation and Semantics; 1.1.2 Critical Phenomena; 1.1.3 Effective Quantum Field Theory; 1.1.4 Asymptotic Freedom; 1.2 Dimerised Quantum Antiferromagnets; 1.2.1 Theoretical Description; 1.2.2 Coupling to External Magnetic Field; 1.2.3 Research Themes and Questions; 1.2.4 Experimental and Numerical Realisations; 1.3 Deconfined Quantum Criticality; 1.3.1 JQ Model; 1.3.2 Spinon Schematic Model; 1.3.3 Evidence for DQC Spinons; 1.3.4 DQC Field Theory; 1.4 Organisation of Thesis. 3.3 Quantum Field Theory3.4 Results; 3.4.1 Best-Fit Parameters; 3.5 Higgs Decay Linewidth; 3.5.1 Vector Response; 3.5.2 Scalar Response; 3.6 Derivation of Parameters; 3.6.1 Gap, Velocity, and Critical Point; 3.6.2 Relating ms and c; 3.7 Discussion and Conclusion; References; 4 A Nonperturbative Theory of Paramagnon Decay; 4.1 Introduction; 4.2 General Considerations; 4.2.1 The Spectral Function; 4.2.2 The Diagrammatic Expansion; 4.3 The Golden Rule of Quantum Kinetics; 4.4 Mathematical Analysis of the Golden Rule of Quantum Kinetics; 4.5 Comparison with Experimental Data on TlCuCl3. 4.6 ConclusionsReferences; 5 Dimensional Reduction in Quantum Critical Systems; 5.1 Introduction; 5.2 Asymptotic Scaling Forms; 5.3 Results and Analysis; 5.4 Concluding Remarks and Future Research; References; 6 Continuity of the Order Parameter in Magnetic Condensates; 6.1 Introduction; 6.2 Disordered Phase; 6.3 Ordered BEC Phase; 6.4 Results; 6.4.1 Order Parameter; 6.4.2 Goldstone Theorem; 6.5 Discussion and Conclusion; References; 7 Multiple Universalities in Order-Disorder Magnetic Phase Transitions; 7.1 Introduction; 7.2 Methods; 7.2.1 Comparison with Standard BEC Effective Field Theory. 7.2.2 Renormalization7.3 Results and Discussion; 7.3.1 Case I; 7.3.2 Case II; 7.3.3 Case III; 7.3.4 Discussion; 7.4 Conclusion; References; 8 Prediction of Ultra-Narrow Higgs Resonance in Magnon Bose-Condensates; 8.1 Introduction; 8.2 Method: Isotropic Systems; 8.2.1 Q-Factor Analysis; 8.3 Method: Anisotropic Systems; 8.3.1 Q-Factor Analysis; 8.4 Discussion; References; 9 Bose-Einstein Condensation of Particles with Half-Integer Spin; 9.1 Introduction; 9.2 Theory of the Spinon BEC; 9.3 Renormalization, Critical Indices and the Phase Diagram; 9.3.1 Phase Diagram; 9.3.2 Renormalization.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 530.143; Quantum field theory; SCIENCE -- Energy; SCIENCE -- Mechanics -- General; SCIENCE -- Physics -- General; Quantum field theory; Electronic books
• Languages: English
• ISBNs: 9783319975320; 3319975323; 9783319975337; 3319975331
• Related ISBNs: 9783319975313; 3319975315
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed September 7, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.